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Finding the Third Proportional to 51,048,049 and 112,014,709

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Solution

The third proportional to 51,048,049 and 112,014,709 is: 245,793,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,048,049 : 112,014,709 = 112,014,709 : x
  2. Step 2: Convert to fraction form
    51,048,049/112,014,709 = 112,014,709/x
  3. Step 3: Cross multiply
    51,048,049x = 112,014,709 × 112,014,709
  4. Step 4: Simplify right side
    51,048,049x = 12,547,295,032,354,680
  5. Step 5: Solve for x
    x = 12,547,295,032,354,680/51,048,049
  6. Step 6: Final answer
    x = 245,793,821.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.